1001 = 1 × 2 + (3 + 4) × 5 × 6 + 789
1001 = 9 × 8 × 7 + 65 + 432 × 1
1001 = 0^6 + 1^8 + 2^5 − 3^9 + 4^7 + 5^3 + 6^2 + 7^0 + 8^4 + 9^1
1001 divides 100^3 - 1. 1001 = (100^3 - 1)/999
Strobogrammatic number: the same upside down.
Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24, n = 14
1001 = binomial(11 + 3, 4) ,11th pentatope number
Pentagonal number: a(n) = n*(3*n-1)/2, n = 26
Sphenic number: Product of 3 distinct Primes, (List)
Factors: 1, 7, 11, 13, 77, 91, 143, 1001
One thousand, one
Representations, Binary to Hexadecimal:
1111101001_2
1101002_3
33221_4
13001_5
4345_6
2630_7
1751_8
1332_9
830_11
6b5_12
5c0_13
517_14
46b_15
3e9_16
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
